GATE — Production and Industrial Engineering (PI) — 2021

Question 1 of 65

Question 1

Multiple ChoiceGeneral AptitudeNumerical Ability

+1 points-0.33 points

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

Correct Answer:

A

9,92,500

B

9,95,006

C

10,00,000

D

12,51,506

Answer: C — 1,000,000. Two years of 5% compound growth multiply the original population by 1.05² = 1.1025.

Therefore the earlier population was 1,102,500/1.1025 = 1,000,000. Subtracting 10% of the current population would not reverse compound growth correctly.

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